The Weil-Petersson form on an acyclic cluster variety
classification
🧮 math.RA
math.AG
keywords
clusterformvarietyweil-peterssonacyclicahlercertainentire
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The Weil-Petersson form on a cluster variety is a 2-form on a certain open smooth subvariety; the union of the cluster tori. We show that for acyclic cluster varieties, the Weil-Petersson 2-form extends to a regular K\"ahler 2-form on the entire cluster variety.
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